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Faghfouri, Morteza, Jazer, Nadereh. (1402). Shen's L-Process on the Chern Connection‎. سامانه مدیریت نشریات علمی, 4(1), 12-22. doi: 10.22098/jfga.2023.12452.1085
Morteza Faghfouri; Nadereh Jazer. "Shen's L-Process on the Chern Connection‎". سامانه مدیریت نشریات علمی, 4, 1, 1402, 12-22. doi: 10.22098/jfga.2023.12452.1085
Faghfouri, Morteza, Jazer, Nadereh. (1402). 'Shen's L-Process on the Chern Connection‎', سامانه مدیریت نشریات علمی, 4(1), pp. 12-22. doi: 10.22098/jfga.2023.12452.1085
Faghfouri, Morteza, Jazer, Nadereh. Shen's L-Process on the Chern Connection‎. سامانه مدیریت نشریات علمی, 1402; 4(1): 12-22. doi: 10.22098/jfga.2023.12452.1085

Shen's L-Process on the Chern Connection‎

Journal of Finsler Geometry and its Applications
دوره 4، شماره 1، مهر 2023، صفحه 12-22    اصل مقاله (318.56 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2023.12452.1085
نویسندگان
Morteza Faghfouri* 1؛ Nadereh Jazer2
1Department of Pure Mathematics. Faculty of Mathematical Sciences. University of Tabriz. Tabriz. Iran.
2Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
چکیده
‎The notion of Shen's process was introduced by Tayebi-Najafi in order to construct the Shen connection from the Berwald connection‎. ‎In this paper‎, ‎we study the connection obtained by Shen's L-process on the Chern connection‎. ‎Let (M‎, ‎F) be a Finsler manifold‎. ‎Suppose that D is the linear torsion-free connection obtained by Shen's L-process on Chern's connection‎. ‎First‎, ‎we show the existence and uniqueness of D‎. ‎Then‎, ‎we prove that their hv-curvature coincides if and only if F is a Riemannian ‎metric
کلیدواژه‌ها
Chern connection؛ Shen connection؛ Shen’s C and L-Processes
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